{"title":"高杜川度规的连续性方程","authors":"Taotao Zheng","doi":"10.2140/PJM.2021.310.487","DOIUrl":null,"url":null,"abstract":"We study the continuity equation of the Gauduchon metrics and establish its interval of maximal existence, which extends the continuity equation of the Kahler metrics introduced by La Nave \\& Tian for and of the Hermitian metrics introduced by Sherman \\& Weinkove. Our method is based on the solution to the Gauduchon conjecture by Szekelyhidi, Tosatti \\& Weinkove.","PeriodicalId":8430,"journal":{"name":"arXiv: Differential Geometry","volume":"20 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"The continuity equation of the Gauduchon metrics\",\"authors\":\"Taotao Zheng\",\"doi\":\"10.2140/PJM.2021.310.487\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the continuity equation of the Gauduchon metrics and establish its interval of maximal existence, which extends the continuity equation of the Kahler metrics introduced by La Nave \\\\& Tian for and of the Hermitian metrics introduced by Sherman \\\\& Weinkove. Our method is based on the solution to the Gauduchon conjecture by Szekelyhidi, Tosatti \\\\& Weinkove.\",\"PeriodicalId\":8430,\"journal\":{\"name\":\"arXiv: Differential Geometry\",\"volume\":\"20 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-04-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv: Differential Geometry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2140/PJM.2021.310.487\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv: Differential Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2140/PJM.2021.310.487","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We study the continuity equation of the Gauduchon metrics and establish its interval of maximal existence, which extends the continuity equation of the Kahler metrics introduced by La Nave \& Tian for and of the Hermitian metrics introduced by Sherman \& Weinkove. Our method is based on the solution to the Gauduchon conjecture by Szekelyhidi, Tosatti \& Weinkove.
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